Question

If 3A+B=60°,3A-B=30°,then find A and B?

Answer 1

Step-by-step explanation:

3A+B=60

3A-B=30

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6A=90

A=15

B=15

Answer 2

Answer :

${\red\bigstar\Large\bold{\underline{\textsf{\green{Given\:Equations:}}}}}$

$\sf 3A\:+\:B\:=\:60°————\:equation\:1$

$\sf 3A\:-\:B\:=\: 30°————\:equation\:2$

★ Add both the equations

➡ $\sf 3A\:+\:B\:+\:3A\:-\:B\:=\:60°\:+\:30°$

➡ $\sf 6A\:=\:90°$

➡ $\sf A\:=\: \dfrac{90°}{6}$

▶ A = 15°

$\sf{\red{Now\:,\:Substitute \:the\: value \:of \:A \:in \:equation\:1}}$

➡ 3A + B = 60°

➡ 3(15) + B = 60°

➡ 45° + B = 60°

➡ B = 60° - 45°

▶ B = 15°

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